Check the validity of the statement: 'Two lines in a plane either intersect at a point or they are parallel.'

Answer

To check the validity of the statement "Two lines in a plane either intersect at a point or they are parallel," we can follow these steps:

### Step 1: Understand the Definitions
- **Intersecting Lines**: Two lines that cross each other at a point.
- **Parallel Lines**: Two lines that never meet, no matter how far they are extended.

### Step 2: Draw Two Lines
- Draw two lines on a plane. For example, let’s label them as Line L and Line M.

### Step 3: Check for Intersection
- Observe if the lines intersect. If they do, they meet at a point. This confirms part of the statement.

### Step 4: Consider Non-Intersecting Lines
- Now, draw another set of lines that do not intersect. For example, draw Line P and Line Q such that they are parallel.

### Step 5: Extend the Lines
- Extend both lines (Line P and Line Q) infinitely in both directions. Since they are parallel, they will never meet.

### Step 6: Conclusion
- Since we have demonstrated that:
1. Lines can intersect at a point.
2. Lines can be parallel and never intersect.

We conclude that the statement is valid: "Two lines in a plane either intersect at a point or they are parallel."

### Final Statement
Thus, the statement is true.

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